76821336 has 48 divisors (see below), whose sum is σ = 209336400. Its totient is φ = 25449792.

The previous prime is 76821293. The next prime is 76821337. The reversal of 76821336 is 63312867.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 76821336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76821337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8830 + ... + 15218.

It is an arithmetic number, because the mean of its divisors is an integer number (4361175).

Almost surely, 2^76821336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76821336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104668200).

76821336 is an abundant number, since it is smaller than the sum of its proper divisors (132515064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

76821336 is a wasteful number, since it uses less digits than its factorization.

76821336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6568 (or 6561 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 76821336 is about 8764.7781489322. The cubic root of 76821336 is about 425.1027866730.

The spelling of 76821336 in words is "seventy-six million, eight hundred twenty-one thousand, three hundred thirty-six".